Question

In a park, the ratio of lorries to vans to cars is 2 : 4 : 9. If there are 6 lorries, what is the total number of vehicles?

Answer 1

To calculate the total number of vehicles, we first find that each part of the ratio represents 3 vehicles (since there are 6 lorries and 2 parts). We then multiply the parts for vans and cars by 3 and add the sum of lorries, vans, and cars to get a total of 45 vehicles.

Step-by-step explanation:

The question involves the subject of Mathematics, specifically ratio and proportion, which is typically taught at the middle school level. To find the total number of vehicles in the park when the ratio of lorries to vans to cars is given as 2 : 4 : 9 and there are 6 lorries, we use the following steps:

1. Since there are 2 parts of lorries and 6 lorries in total, each part is equal to 6 / 2 = 3 lorries.
2. Next, multiply the 4 parts of vans by 3 to get the total number of vans, which is 4 * 3 = 12 vans.
3. Similarly, multiply the 9 parts of cars by 3 to get the total number of cars, which is 9 * 3 = 27 cars.
4. Add the total number of lorries, vans, and cars to get the overall total: 6 lorries + 12 vans + 27 cars = 45 vehicles in total.